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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SWV032+1 : TPTP v9.2.1. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May  5 05:20:40 PM UTC 2026

% Result   : Theorem 4.71s 3.37s
% Output   : CNFRefutation 4.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   13
% Syntax   : Number of formulae    :  139 (  38 unt;   0 def)
%            Number of atoms       :  901 ( 426 equ)
%            Maximal formula atoms :  180 (   6 avg)
%            Number of connectives : 1399 ( 637   ~; 669   |;  75   &)
%                                         (   0 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   38 (   6 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   22 (  22 usr;  15 con; 0-3 aty)
%            Number of variables   :   73 (   0 sgn  49   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(gauss_init_0041,conjecture,
    ( ( init = init
      & leq(n0,pv19)
      & leq(n0,pv20)
      & leq(n0,pv1376)
      & leq(pv19,minus(n410,n1))
      & leq(pv20,minus(n330,n1))
      & leq(pv1376,n3)
      & ! [X14] :
          ( ( leq(n0,X14)
            & leq(X14,n2) )
         => ! [X18] :
              ( ( leq(n0,X18)
                & leq(X18,n3) )
             => a_select3(simplex7_init,X18,X14) = init ) )
      & ! [X4] :
          ( ( leq(n0,X4)
            & leq(X4,minus(pv1376,n1)) )
         => a_select2(s_values7_init,X4) = init ) )
   => ( init = init
      & a_select3(simplex7_init,pv1376,n0) = init
      & a_select3(simplex7_init,pv1376,n1) = init
      & a_select3(simplex7_init,pv1376,n2) = init
      & a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) = init
      & leq(n0,pv19)
      & leq(n0,pv1376)
      & leq(pv19,minus(n410,n1))
      & leq(pv1376,n3)
      & ! [X20] :
          ( ( leq(n0,X20)
            & leq(X20,n2) )
         => ! [X21] :
              ( ( leq(n0,X21)
                & leq(X21,n3) )
             => a_select3(simplex7_init,X21,X20) = init ) )
      & ! [X22] :
          ( ( leq(n0,X22)
            & leq(X22,minus(pv1376,n1)) )
         => a_select2(s_values7_init,X22) = init ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gauss_init_0041) ).

fof(const_array2_select,axiom,
    ! [X5,X9,X10,X11,X12,X13,X8] :
      ( ( leq(X9,X5)
        & leq(X5,X10)
        & leq(X12,X11)
        & leq(X11,X13) )
     => a_select3(tptp_const_array2(dim(X9,X10),dim(X12,X13),X8),X5,X11) = X8 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',const_array2_select) ).

fof(succ_plus_1_r,axiom,
    ! [X1] : plus(X1,n1) = succ(X1),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_1_r) ).

fof(reflexivity_leq,axiom,
    ! [X1] : leq(X1,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',reflexivity_leq) ).

fof(transitivity_leq,axiom,
    ! [X1,X2,X3] :
      ( ( leq(X1,X2)
        & leq(X2,X3) )
     => leq(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',transitivity_leq) ).

fof(leq_succ,axiom,
    ! [X1,X2] :
      ( leq(X1,X2)
     => leq(X1,succ(X2)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_succ) ).

fof(succ_plus_1_l,axiom,
    ! [X1] : plus(n1,X1) = succ(X1),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_1_l) ).

fof(successor_2,axiom,
    succ(succ(n0)) = n2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_2) ).

fof(successor_1,axiom,
    succ(n0) = n1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_1) ).

fof(leq_gt1,axiom,
    ! [X1,X2] :
      ( gt(X2,X1)
     => leq(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_gt1) ).

fof(gt_2_0,axiom,
    gt(n2,n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_2_0) ).

fof(gt_2_1,axiom,
    gt(n2,n1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_2_1) ).

fof(gt_1_0,axiom,
    gt(n1,n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_1_0) ).

fof(c_0_13,negated_conjecture,
    ~ ( ( init = init
        & leq(n0,pv19)
        & leq(n0,pv20)
        & leq(n0,pv1376)
        & leq(pv19,minus(n410,n1))
        & leq(pv20,minus(n330,n1))
        & leq(pv1376,n3)
        & ! [X14] :
            ( ( leq(n0,X14)
              & leq(X14,n2) )
           => ! [X18] :
                ( ( leq(n0,X18)
                  & leq(X18,n3) )
               => a_select3(simplex7_init,X18,X14) = init ) )
        & ! [X4] :
            ( ( leq(n0,X4)
              & leq(X4,minus(pv1376,n1)) )
           => a_select2(s_values7_init,X4) = init ) )
     => ( init = init
        & a_select3(simplex7_init,pv1376,n0) = init
        & a_select3(simplex7_init,pv1376,n1) = init
        & a_select3(simplex7_init,pv1376,n2) = init
        & a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) = init
        & leq(n0,pv19)
        & leq(n0,pv1376)
        & leq(pv19,minus(n410,n1))
        & leq(pv1376,n3)
        & ! [X20] :
            ( ( leq(n0,X20)
              & leq(X20,n2) )
           => ! [X21] :
                ( ( leq(n0,X21)
                  & leq(X21,n3) )
               => a_select3(simplex7_init,X21,X20) = init ) )
        & ! [X22] :
            ( ( leq(n0,X22)
              & leq(X22,minus(pv1376,n1)) )
           => a_select2(s_values7_init,X22) = init ) ) ),
    inference(assume_negation,[status(cth)],[gauss_init_0041]) ).

fof(c_0_14,negated_conjecture,
    ! [X360,X361,X362] :
      ( init = init
      & leq(n0,pv19)
      & leq(n0,pv20)
      & leq(n0,pv1376)
      & leq(pv19,minus(n410,n1))
      & leq(pv20,minus(n330,n1))
      & leq(pv1376,n3)
      & ( ~ leq(n0,X360)
        | ~ leq(X360,n2)
        | ~ leq(n0,X361)
        | ~ leq(X361,n3)
        | a_select3(simplex7_init,X361,X360) = init )
      & ( ~ leq(n0,X362)
        | ~ leq(X362,minus(pv1376,n1))
        | a_select2(s_values7_init,X362) = init )
      & ( leq(n0,esk26_0)
        | leq(n0,esk24_0)
        | init != init
        | a_select3(simplex7_init,pv1376,n0) != init
        | a_select3(simplex7_init,pv1376,n1) != init
        | a_select3(simplex7_init,pv1376,n2) != init
        | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
        | ~ leq(n0,pv19)
        | ~ leq(n0,pv1376)
        | ~ leq(pv19,minus(n410,n1))
        | ~ leq(pv1376,n3) )
      & ( leq(esk26_0,minus(pv1376,n1))
        | leq(n0,esk24_0)
        | init != init
        | a_select3(simplex7_init,pv1376,n0) != init
        | a_select3(simplex7_init,pv1376,n1) != init
        | a_select3(simplex7_init,pv1376,n2) != init
        | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
        | ~ leq(n0,pv19)
        | ~ leq(n0,pv1376)
        | ~ leq(pv19,minus(n410,n1))
        | ~ leq(pv1376,n3) )
      & ( a_select2(s_values7_init,esk26_0) != init
        | leq(n0,esk24_0)
        | init != init
        | a_select3(simplex7_init,pv1376,n0) != init
        | a_select3(simplex7_init,pv1376,n1) != init
        | a_select3(simplex7_init,pv1376,n2) != init
        | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
        | ~ leq(n0,pv19)
        | ~ leq(n0,pv1376)
        | ~ leq(pv19,minus(n410,n1))
        | ~ leq(pv1376,n3) )
      & ( leq(n0,esk26_0)
        | leq(esk24_0,n2)
        | init != init
        | a_select3(simplex7_init,pv1376,n0) != init
        | a_select3(simplex7_init,pv1376,n1) != init
        | a_select3(simplex7_init,pv1376,n2) != init
        | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
        | ~ leq(n0,pv19)
        | ~ leq(n0,pv1376)
        | ~ leq(pv19,minus(n410,n1))
        | ~ leq(pv1376,n3) )
      & ( leq(esk26_0,minus(pv1376,n1))
        | leq(esk24_0,n2)
        | init != init
        | a_select3(simplex7_init,pv1376,n0) != init
        | a_select3(simplex7_init,pv1376,n1) != init
        | a_select3(simplex7_init,pv1376,n2) != init
        | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
        | ~ leq(n0,pv19)
        | ~ leq(n0,pv1376)
        | ~ leq(pv19,minus(n410,n1))
        | ~ leq(pv1376,n3) )
      & ( a_select2(s_values7_init,esk26_0) != init
        | leq(esk24_0,n2)
        | init != init
        | a_select3(simplex7_init,pv1376,n0) != init
        | a_select3(simplex7_init,pv1376,n1) != init
        | a_select3(simplex7_init,pv1376,n2) != init
        | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
        | ~ leq(n0,pv19)
        | ~ leq(n0,pv1376)
        | ~ leq(pv19,minus(n410,n1))
        | ~ leq(pv1376,n3) )
      & ( leq(n0,esk26_0)
        | leq(n0,esk25_0)
        | init != init
        | a_select3(simplex7_init,pv1376,n0) != init
        | a_select3(simplex7_init,pv1376,n1) != init
        | a_select3(simplex7_init,pv1376,n2) != init
        | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
        | ~ leq(n0,pv19)
        | ~ leq(n0,pv1376)
        | ~ leq(pv19,minus(n410,n1))
        | ~ leq(pv1376,n3) )
      & ( leq(esk26_0,minus(pv1376,n1))
        | leq(n0,esk25_0)
        | init != init
        | a_select3(simplex7_init,pv1376,n0) != init
        | a_select3(simplex7_init,pv1376,n1) != init
        | a_select3(simplex7_init,pv1376,n2) != init
        | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
        | ~ leq(n0,pv19)
        | ~ leq(n0,pv1376)
        | ~ leq(pv19,minus(n410,n1))
        | ~ leq(pv1376,n3) )
      & ( a_select2(s_values7_init,esk26_0) != init
        | leq(n0,esk25_0)
        | init != init
        | a_select3(simplex7_init,pv1376,n0) != init
        | a_select3(simplex7_init,pv1376,n1) != init
        | a_select3(simplex7_init,pv1376,n2) != init
        | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
        | ~ leq(n0,pv19)
        | ~ leq(n0,pv1376)
        | ~ leq(pv19,minus(n410,n1))
        | ~ leq(pv1376,n3) )
      & ( leq(n0,esk26_0)
        | leq(esk25_0,n3)
        | init != init
        | a_select3(simplex7_init,pv1376,n0) != init
        | a_select3(simplex7_init,pv1376,n1) != init
        | a_select3(simplex7_init,pv1376,n2) != init
        | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
        | ~ leq(n0,pv19)
        | ~ leq(n0,pv1376)
        | ~ leq(pv19,minus(n410,n1))
        | ~ leq(pv1376,n3) )
      & ( leq(esk26_0,minus(pv1376,n1))
        | leq(esk25_0,n3)
        | init != init
        | a_select3(simplex7_init,pv1376,n0) != init
        | a_select3(simplex7_init,pv1376,n1) != init
        | a_select3(simplex7_init,pv1376,n2) != init
        | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
        | ~ leq(n0,pv19)
        | ~ leq(n0,pv1376)
        | ~ leq(pv19,minus(n410,n1))
        | ~ leq(pv1376,n3) )
      & ( a_select2(s_values7_init,esk26_0) != init
        | leq(esk25_0,n3)
        | init != init
        | a_select3(simplex7_init,pv1376,n0) != init
        | a_select3(simplex7_init,pv1376,n1) != init
        | a_select3(simplex7_init,pv1376,n2) != init
        | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
        | ~ leq(n0,pv19)
        | ~ leq(n0,pv1376)
        | ~ leq(pv19,minus(n410,n1))
        | ~ leq(pv1376,n3) )
      & ( leq(n0,esk26_0)
        | a_select3(simplex7_init,esk25_0,esk24_0) != init
        | init != init
        | a_select3(simplex7_init,pv1376,n0) != init
        | a_select3(simplex7_init,pv1376,n1) != init
        | a_select3(simplex7_init,pv1376,n2) != init
        | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
        | ~ leq(n0,pv19)
        | ~ leq(n0,pv1376)
        | ~ leq(pv19,minus(n410,n1))
        | ~ leq(pv1376,n3) )
      & ( leq(esk26_0,minus(pv1376,n1))
        | a_select3(simplex7_init,esk25_0,esk24_0) != init
        | init != init
        | a_select3(simplex7_init,pv1376,n0) != init
        | a_select3(simplex7_init,pv1376,n1) != init
        | a_select3(simplex7_init,pv1376,n2) != init
        | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
        | ~ leq(n0,pv19)
        | ~ leq(n0,pv1376)
        | ~ leq(pv19,minus(n410,n1))
        | ~ leq(pv1376,n3) )
      & ( a_select2(s_values7_init,esk26_0) != init
        | a_select3(simplex7_init,esk25_0,esk24_0) != init
        | init != init
        | a_select3(simplex7_init,pv1376,n0) != init
        | a_select3(simplex7_init,pv1376,n1) != init
        | a_select3(simplex7_init,pv1376,n2) != init
        | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
        | ~ leq(n0,pv19)
        | ~ leq(n0,pv1376)
        | ~ leq(pv19,minus(n410,n1))
        | ~ leq(pv1376,n3) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])])]) ).

cnf(c_0_15,negated_conjecture,
    ( a_select2(s_values7_init,esk26_0) != init
    | a_select3(simplex7_init,esk25_0,esk24_0) != init
    | $false
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv1376)
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv1376,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_16,negated_conjecture,
    ( a_select2(s_values7_init,esk26_0) != init
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init
    | a_select3(simplex7_init,esk25_0,esk24_0) != init
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv1376)
    | ~ leq(pv1376,n3)
    | ~ leq(pv19,minus(n410,n1)) ),
    inference(cn,[status(thm)],[c_0_15]) ).

cnf(c_0_17,negated_conjecture,
    leq(n0,pv19),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_18,negated_conjecture,
    ( leq(esk26_0,minus(pv1376,n1))
    | a_select3(simplex7_init,esk25_0,esk24_0) != init
    | $false
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv1376)
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv1376,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_19,negated_conjecture,
    ( a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init
    | a_select3(simplex7_init,esk25_0,esk24_0) != init
    | a_select2(s_values7_init,esk26_0) != init
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(pv1376,n3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17])]) ).

cnf(c_0_20,negated_conjecture,
    leq(n0,pv1376),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_21,negated_conjecture,
    leq(pv19,minus(n410,n1)),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_22,negated_conjecture,
    leq(pv1376,n3),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_23,plain,
    ! [X235,X236,X237,X238,X239,X240,X241] :
      ( ~ leq(X236,X235)
      | ~ leq(X235,X237)
      | ~ leq(X239,X238)
      | ~ leq(X238,X240)
      | a_select3(tptp_const_array2(dim(X236,X237),dim(X239,X240),X241),X235,X238) = X241 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[const_array2_select])]) ).

cnf(c_0_24,negated_conjecture,
    ( leq(esk26_0,minus(pv1376,n1))
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init
    | a_select3(simplex7_init,esk25_0,esk24_0) != init
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv1376)
    | ~ leq(pv1376,n3)
    | ~ leq(pv19,minus(n410,n1)) ),
    inference(cn,[status(thm)],[c_0_18]) ).

cnf(c_0_25,negated_conjecture,
    ( leq(n0,esk26_0)
    | a_select3(simplex7_init,esk25_0,esk24_0) != init
    | $false
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv1376)
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv1376,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_26,negated_conjecture,
    ( a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init
    | a_select3(simplex7_init,esk25_0,esk24_0) != init
    | a_select2(s_values7_init,esk26_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20])]),c_0_21]),c_0_22])]) ).

cnf(c_0_27,plain,
    ( a_select3(tptp_const_array2(dim(X1,X3),dim(X4,X6),X7),X2,X5) = X7
    | ~ leq(X1,X2)
    | ~ leq(X2,X3)
    | ~ leq(X4,X5)
    | ~ leq(X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_28,negated_conjecture,
    leq(pv20,minus(n330,n1)),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_29,negated_conjecture,
    leq(n0,pv20),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_30,negated_conjecture,
    ( leq(esk26_0,minus(pv1376,n1))
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init
    | a_select3(simplex7_init,esk25_0,esk24_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_17]),c_0_20]),c_0_22]),c_0_21])]) ).

cnf(c_0_31,negated_conjecture,
    ( leq(n0,esk25_0)
    | a_select2(s_values7_init,esk26_0) != init
    | $false
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv1376)
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv1376,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_32,negated_conjecture,
    ( leq(esk26_0,minus(pv1376,n1))
    | leq(n0,esk25_0)
    | $false
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv1376)
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv1376,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_33,negated_conjecture,
    ( leq(n0,esk24_0)
    | a_select2(s_values7_init,esk26_0) != init
    | $false
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv1376)
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv1376,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_34,negated_conjecture,
    ( leq(esk26_0,minus(pv1376,n1))
    | leq(n0,esk24_0)
    | $false
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv1376)
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv1376,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_35,negated_conjecture,
    ( leq(n0,esk26_0)
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init
    | a_select3(simplex7_init,esk25_0,esk24_0) != init
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv1376)
    | ~ leq(pv1376,n3)
    | ~ leq(pv19,minus(n410,n1)) ),
    inference(cn,[status(thm)],[c_0_25]) ).

cnf(c_0_36,negated_conjecture,
    ( a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init
    | a_select3(simplex7_init,esk25_0,esk24_0) != init
    | a_select2(s_values7_init,esk26_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_29]),c_0_21]),c_0_17])]) ).

cnf(c_0_37,negated_conjecture,
    ( a_select2(s_values7_init,X1) = init
    | ~ leq(n0,X1)
    | ~ leq(X1,minus(pv1376,n1)) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_38,negated_conjecture,
    ( leq(esk26_0,minus(pv1376,n1))
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init
    | a_select3(simplex7_init,esk25_0,esk24_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_27]),c_0_28]),c_0_29]),c_0_21]),c_0_17])]) ).

cnf(c_0_39,negated_conjecture,
    ( leq(n0,esk25_0)
    | a_select2(s_values7_init,esk26_0) != init
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv1376)
    | ~ leq(pv1376,n3)
    | ~ leq(pv19,minus(n410,n1)) ),
    inference(cn,[status(thm)],[c_0_31]) ).

cnf(c_0_40,negated_conjecture,
    ( leq(n0,esk25_0)
    | leq(esk26_0,minus(pv1376,n1))
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv1376)
    | ~ leq(pv1376,n3)
    | ~ leq(pv19,minus(n410,n1)) ),
    inference(cn,[status(thm)],[c_0_32]) ).

cnf(c_0_41,negated_conjecture,
    ( leq(n0,esk24_0)
    | a_select2(s_values7_init,esk26_0) != init
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv1376)
    | ~ leq(pv1376,n3)
    | ~ leq(pv19,minus(n410,n1)) ),
    inference(cn,[status(thm)],[c_0_33]) ).

cnf(c_0_42,negated_conjecture,
    ( leq(n0,esk24_0)
    | leq(esk26_0,minus(pv1376,n1))
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv1376)
    | ~ leq(pv1376,n3)
    | ~ leq(pv19,minus(n410,n1)) ),
    inference(cn,[status(thm)],[c_0_34]) ).

cnf(c_0_43,negated_conjecture,
    ( leq(n0,esk26_0)
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init
    | a_select3(simplex7_init,esk25_0,esk24_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_17]),c_0_20]),c_0_22]),c_0_21])]) ).

cnf(c_0_44,negated_conjecture,
    ( a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init
    | a_select3(simplex7_init,esk25_0,esk24_0) != init
    | ~ leq(n0,esk26_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).

fof(c_0_45,plain,
    ! [X309] : plus(X309,n1) = succ(X309),
    inference(variable_rename,[status(thm)],[succ_plus_1_r]) ).

cnf(c_0_46,negated_conjecture,
    ( leq(n0,esk26_0)
    | leq(n0,esk25_0)
    | $false
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv1376)
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv1376,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_47,negated_conjecture,
    ( leq(n0,esk25_0)
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init
    | a_select2(s_values7_init,esk26_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_17]),c_0_20]),c_0_22]),c_0_21])]) ).

cnf(c_0_48,negated_conjecture,
    ( leq(esk26_0,minus(pv1376,n1))
    | leq(n0,esk25_0)
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_17]),c_0_20]),c_0_22]),c_0_21])]) ).

cnf(c_0_49,negated_conjecture,
    ( leq(n0,esk26_0)
    | leq(n0,esk24_0)
    | $false
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv1376)
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv1376,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_50,negated_conjecture,
    ( leq(n0,esk24_0)
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init
    | a_select2(s_values7_init,esk26_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_17]),c_0_20]),c_0_22]),c_0_21])]) ).

cnf(c_0_51,negated_conjecture,
    ( leq(esk26_0,minus(pv1376,n1))
    | leq(n0,esk24_0)
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_17]),c_0_20]),c_0_22]),c_0_21])]) ).

cnf(c_0_52,negated_conjecture,
    ( leq(esk24_0,n2)
    | a_select2(s_values7_init,esk26_0) != init
    | $false
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv1376)
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv1376,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_53,negated_conjecture,
    ( leq(esk26_0,minus(pv1376,n1))
    | leq(esk24_0,n2)
    | $false
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv1376)
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv1376,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_54,negated_conjecture,
    ( a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init
    | a_select3(simplex7_init,esk25_0,esk24_0) != init ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_27]),c_0_28]),c_0_29]),c_0_21]),c_0_17])]),c_0_44]) ).

cnf(c_0_55,negated_conjecture,
    ( a_select3(simplex7_init,X2,X1) = init
    | ~ leq(n0,X1)
    | ~ leq(X1,n2)
    | ~ leq(n0,X2)
    | ~ leq(X2,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_56,plain,
    ! [X208] : leq(X208,X208),
    inference(variable_rename,[status(thm)],[reflexivity_leq]) ).

fof(c_0_57,plain,
    ! [X209,X210,X211] :
      ( ~ leq(X209,X210)
      | ~ leq(X210,X211)
      | leq(X209,X211) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity_leq])]) ).

fof(c_0_58,plain,
    ! [X223,X224] :
      ( ~ leq(X223,X224)
      | leq(X223,succ(X224)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_succ])]) ).

fof(c_0_59,plain,
    ! [X310] : plus(n1,X310) = succ(X310),
    inference(variable_rename,[status(thm)],[succ_plus_1_l]) ).

cnf(c_0_60,plain,
    succ(succ(n0)) = n2,
    inference(split_conjunct,[status(thm)],[successor_2]) ).

cnf(c_0_61,plain,
    plus(X1,n1) = succ(X1),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_62,plain,
    succ(n0) = n1,
    inference(split_conjunct,[status(thm)],[successor_1]) ).

cnf(c_0_63,negated_conjecture,
    ( leq(n0,esk25_0)
    | leq(n0,esk26_0)
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv1376)
    | ~ leq(pv1376,n3)
    | ~ leq(pv19,minus(n410,n1)) ),
    inference(cn,[status(thm)],[c_0_46]) ).

cnf(c_0_64,negated_conjecture,
    ( leq(n0,esk25_0)
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init
    | a_select2(s_values7_init,esk26_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_27]),c_0_28]),c_0_29]),c_0_21]),c_0_17])]) ).

cnf(c_0_65,negated_conjecture,
    ( leq(esk26_0,minus(pv1376,n1))
    | leq(n0,esk25_0)
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_27]),c_0_28]),c_0_29]),c_0_21]),c_0_17])]) ).

cnf(c_0_66,negated_conjecture,
    ( leq(n0,esk24_0)
    | leq(n0,esk26_0)
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv1376)
    | ~ leq(pv1376,n3)
    | ~ leq(pv19,minus(n410,n1)) ),
    inference(cn,[status(thm)],[c_0_49]) ).

cnf(c_0_67,negated_conjecture,
    ( leq(n0,esk24_0)
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init
    | a_select2(s_values7_init,esk26_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_27]),c_0_28]),c_0_29]),c_0_21]),c_0_17])]) ).

cnf(c_0_68,negated_conjecture,
    ( leq(esk26_0,minus(pv1376,n1))
    | leq(n0,esk24_0)
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_27]),c_0_28]),c_0_29]),c_0_21]),c_0_17])]) ).

cnf(c_0_69,negated_conjecture,
    ( leq(esk24_0,n2)
    | a_select2(s_values7_init,esk26_0) != init
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv1376)
    | ~ leq(pv1376,n3)
    | ~ leq(pv19,minus(n410,n1)) ),
    inference(cn,[status(thm)],[c_0_52]) ).

cnf(c_0_70,negated_conjecture,
    ( leq(esk24_0,n2)
    | leq(esk26_0,minus(pv1376,n1))
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv1376)
    | ~ leq(pv1376,n3)
    | ~ leq(pv19,minus(n410,n1)) ),
    inference(cn,[status(thm)],[c_0_53]) ).

cnf(c_0_71,negated_conjecture,
    ( a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init
    | ~ leq(esk25_0,n3)
    | ~ leq(esk24_0,n2)
    | ~ leq(n0,esk25_0)
    | ~ leq(n0,esk24_0) ),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_72,plain,
    leq(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_73,plain,
    ( leq(X1,X3)
    | ~ leq(X1,X2)
    | ~ leq(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_74,plain,
    ( leq(X1,succ(X2))
    | ~ leq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_58]) ).

cnf(c_0_75,plain,
    plus(n1,X1) = succ(X1),
    inference(split_conjunct,[status(thm)],[c_0_59]) ).

cnf(c_0_76,plain,
    plus(plus(n0,n1),n1) = n2,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_61]),c_0_61]) ).

cnf(c_0_77,plain,
    plus(n0,n1) = n1,
    inference(rw,[status(thm)],[c_0_62,c_0_61]) ).

cnf(c_0_78,negated_conjecture,
    ( leq(n0,esk26_0)
    | leq(n0,esk25_0)
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_17]),c_0_20]),c_0_22]),c_0_21])]) ).

cnf(c_0_79,negated_conjecture,
    ( leq(n0,esk25_0)
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init
    | ~ leq(n0,esk26_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_37]),c_0_65]) ).

fof(c_0_80,plain,
    ! [X216,X217] :
      ( ~ gt(X217,X216)
      | leq(X216,X217) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_gt1])]) ).

cnf(c_0_81,negated_conjecture,
    ( leq(n0,esk26_0)
    | leq(n0,esk24_0)
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_17]),c_0_20]),c_0_22]),c_0_21])]) ).

cnf(c_0_82,negated_conjecture,
    ( leq(n0,esk24_0)
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init
    | ~ leq(n0,esk26_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_37]),c_0_68]) ).

cnf(c_0_83,negated_conjecture,
    ( leq(n0,esk26_0)
    | leq(esk24_0,n2)
    | $false
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv1376)
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv1376,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_84,negated_conjecture,
    ( leq(esk24_0,n2)
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init
    | a_select2(s_values7_init,esk26_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_17]),c_0_20]),c_0_22]),c_0_21])]) ).

cnf(c_0_85,negated_conjecture,
    ( leq(esk26_0,minus(pv1376,n1))
    | leq(esk24_0,n2)
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_17]),c_0_20]),c_0_22]),c_0_21])]) ).

cnf(c_0_86,negated_conjecture,
    ( a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | ~ leq(esk25_0,n3)
    | ~ leq(esk24_0,n2)
    | ~ leq(n0,esk25_0)
    | ~ leq(n0,esk24_0) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_55]),c_0_22]),c_0_72]),c_0_20])]),c_0_73]) ).

cnf(c_0_87,plain,
    ( leq(X1,plus(X2,n1))
    | ~ leq(X1,X2) ),
    inference(rw,[status(thm)],[c_0_74,c_0_61]) ).

cnf(c_0_88,plain,
    plus(n1,X1) = plus(X1,n1),
    inference(rw,[status(thm)],[c_0_75,c_0_61]) ).

cnf(c_0_89,plain,
    plus(n1,n1) = n2,
    inference(rw,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_90,negated_conjecture,
    ( leq(n0,esk25_0)
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_27]),c_0_28]),c_0_29]),c_0_21]),c_0_17])]),c_0_79]) ).

cnf(c_0_91,plain,
    ( leq(X2,X1)
    | ~ gt(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_80]) ).

cnf(c_0_92,plain,
    gt(n2,n0),
    inference(split_conjunct,[status(thm)],[gt_2_0]) ).

cnf(c_0_93,negated_conjecture,
    ( leq(n0,esk24_0)
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_27]),c_0_28]),c_0_29]),c_0_21]),c_0_17])]),c_0_82]) ).

cnf(c_0_94,negated_conjecture,
    ( leq(n0,esk26_0)
    | leq(esk24_0,n2)
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv1376)
    | ~ leq(pv1376,n3)
    | ~ leq(pv19,minus(n410,n1)) ),
    inference(cn,[status(thm)],[c_0_83]) ).

cnf(c_0_95,negated_conjecture,
    ( leq(esk24_0,n2)
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init
    | a_select2(s_values7_init,esk26_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_27]),c_0_28]),c_0_29]),c_0_21]),c_0_17])]) ).

cnf(c_0_96,negated_conjecture,
    ( leq(esk26_0,minus(pv1376,n1))
    | leq(esk24_0,n2)
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_27]),c_0_28]),c_0_29]),c_0_21]),c_0_17])]) ).

cnf(c_0_97,negated_conjecture,
    ( leq(esk25_0,n3)
    | a_select2(s_values7_init,esk26_0) != init
    | $false
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv1376)
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv1376,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_98,negated_conjecture,
    ( leq(esk26_0,minus(pv1376,n1))
    | leq(esk25_0,n3)
    | $false
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv1376)
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv1376,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_99,negated_conjecture,
    ( a_select3(simplex7_init,pv1376,n0) != init
    | ~ leq(esk25_0,n3)
    | ~ leq(esk24_0,n2)
    | ~ leq(n0,esk25_0)
    | ~ leq(n0,esk24_0)
    | ~ leq(n1,n2)
    | ~ leq(n0,n1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_55]),c_0_22]),c_0_20])]) ).

cnf(c_0_100,plain,
    ( leq(X1,n2)
    | ~ leq(X1,n1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89]) ).

cnf(c_0_101,plain,
    gt(n2,n1),
    inference(split_conjunct,[status(thm)],[gt_2_1]) ).

cnf(c_0_102,negated_conjecture,
    ( leq(n0,esk25_0)
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | ~ leq(n0,n2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_55]),c_0_22]),c_0_72]),c_0_20])]) ).

cnf(c_0_103,plain,
    leq(n0,n2),
    inference(spm,[status(thm)],[c_0_91,c_0_92]) ).

cnf(c_0_104,plain,
    gt(n1,n0),
    inference(split_conjunct,[status(thm)],[gt_1_0]) ).

cnf(c_0_105,negated_conjecture,
    ( leq(n0,esk24_0)
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | ~ leq(n0,n2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_55]),c_0_22]),c_0_72]),c_0_20])]) ).

cnf(c_0_106,negated_conjecture,
    ( leq(esk24_0,n2)
    | leq(n0,esk26_0)
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_17]),c_0_20]),c_0_22]),c_0_21])]) ).

cnf(c_0_107,negated_conjecture,
    ( leq(esk24_0,n2)
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init
    | ~ leq(n0,esk26_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_37]),c_0_96]) ).

cnf(c_0_108,negated_conjecture,
    ( leq(esk25_0,n3)
    | a_select2(s_values7_init,esk26_0) != init
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv1376)
    | ~ leq(pv1376,n3)
    | ~ leq(pv19,minus(n410,n1)) ),
    inference(cn,[status(thm)],[c_0_97]) ).

cnf(c_0_109,negated_conjecture,
    ( leq(esk25_0,n3)
    | leq(esk26_0,minus(pv1376,n1))
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv1376)
    | ~ leq(pv1376,n3)
    | ~ leq(pv19,minus(n410,n1)) ),
    inference(cn,[status(thm)],[c_0_98]) ).

cnf(c_0_110,negated_conjecture,
    ( ~ leq(esk25_0,n3)
    | ~ leq(esk24_0,n2)
    | ~ leq(n0,esk25_0)
    | ~ leq(n0,esk24_0)
    | ~ leq(n1,n2)
    | ~ leq(n0,n1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_55]),c_0_22]),c_0_20]),c_0_72])]),c_0_100]) ).

cnf(c_0_111,plain,
    leq(n1,n2),
    inference(spm,[status(thm)],[c_0_91,c_0_101]) ).

cnf(c_0_112,negated_conjecture,
    ( leq(n0,esk25_0)
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_103])]) ).

cnf(c_0_113,plain,
    leq(n0,n1),
    inference(spm,[status(thm)],[c_0_91,c_0_104]) ).

cnf(c_0_114,negated_conjecture,
    ( leq(n0,esk24_0)
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_103])]) ).

cnf(c_0_115,negated_conjecture,
    ( leq(esk24_0,n2)
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_27]),c_0_28]),c_0_29]),c_0_21]),c_0_17])]),c_0_107]) ).

cnf(c_0_116,negated_conjecture,
    ( leq(n0,esk26_0)
    | leq(esk25_0,n3)
    | $false
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv1376)
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv1376,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_117,negated_conjecture,
    ( leq(esk25_0,n3)
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init
    | a_select2(s_values7_init,esk26_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_108,c_0_17]),c_0_20]),c_0_22]),c_0_21])]) ).

cnf(c_0_118,negated_conjecture,
    ( leq(esk26_0,minus(pv1376,n1))
    | leq(esk25_0,n3)
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_17]),c_0_20]),c_0_22]),c_0_21])]) ).

cnf(c_0_119,negated_conjecture,
    ( ~ leq(esk25_0,n3)
    | ~ leq(esk24_0,n2)
    | ~ leq(n0,esk25_0)
    | ~ leq(n0,esk24_0)
    | ~ leq(n0,n1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_111])]) ).

cnf(c_0_120,negated_conjecture,
    ( leq(n0,esk25_0)
    | a_select3(simplex7_init,pv1376,n0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_55]),c_0_22]),c_0_111]),c_0_20])]),c_0_113])]) ).

cnf(c_0_121,negated_conjecture,
    ( leq(n0,esk24_0)
    | a_select3(simplex7_init,pv1376,n0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_55]),c_0_22]),c_0_111]),c_0_20])]),c_0_113])]) ).

cnf(c_0_122,negated_conjecture,
    ( leq(esk24_0,n2)
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_55]),c_0_22]),c_0_72]),c_0_20])]),c_0_103])]) ).

cnf(c_0_123,negated_conjecture,
    ( leq(n0,esk26_0)
    | leq(esk25_0,n3)
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv1376)
    | ~ leq(pv1376,n3)
    | ~ leq(pv19,minus(n410,n1)) ),
    inference(cn,[status(thm)],[c_0_116]) ).

cnf(c_0_124,negated_conjecture,
    ( leq(esk25_0,n3)
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init
    | a_select2(s_values7_init,esk26_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_27]),c_0_28]),c_0_29]),c_0_21]),c_0_17])]) ).

cnf(c_0_125,negated_conjecture,
    ( leq(esk26_0,minus(pv1376,n1))
    | leq(esk25_0,n3)
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_27]),c_0_28]),c_0_29]),c_0_21]),c_0_17])]) ).

cnf(c_0_126,negated_conjecture,
    ( ~ leq(esk25_0,n3)
    | ~ leq(esk24_0,n2)
    | ~ leq(n0,esk25_0)
    | ~ leq(n0,esk24_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_119,c_0_113])]) ).

cnf(c_0_127,negated_conjecture,
    leq(n0,esk25_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_55]),c_0_22]),c_0_103]),c_0_20]),c_0_72])]) ).

cnf(c_0_128,negated_conjecture,
    leq(n0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_55]),c_0_22]),c_0_103]),c_0_20]),c_0_72])]) ).

cnf(c_0_129,negated_conjecture,
    ( leq(esk24_0,n2)
    | a_select3(simplex7_init,pv1376,n0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_55]),c_0_22]),c_0_111]),c_0_20]),c_0_113])]) ).

cnf(c_0_130,negated_conjecture,
    ( leq(esk25_0,n3)
    | leq(n0,esk26_0)
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv19,pv20) != init
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_123,c_0_17]),c_0_20]),c_0_22]),c_0_21])]) ).

cnf(c_0_131,negated_conjecture,
    ( leq(esk25_0,n3)
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init
    | ~ leq(n0,esk26_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_37]),c_0_125]) ).

cnf(c_0_132,negated_conjecture,
    ( ~ leq(esk25_0,n3)
    | ~ leq(esk24_0,n2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_126,c_0_127])]),c_0_128])]) ).

cnf(c_0_133,negated_conjecture,
    leq(esk24_0,n2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_55]),c_0_22]),c_0_103]),c_0_20]),c_0_72])]) ).

cnf(c_0_134,negated_conjecture,
    ( leq(esk25_0,n3)
    | a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init
    | a_select3(simplex7_init,pv1376,n2) != init ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_27]),c_0_28]),c_0_29]),c_0_21]),c_0_17])]),c_0_131]) ).

cnf(c_0_135,negated_conjecture,
    ~ leq(esk25_0,n3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_132,c_0_133])]) ).

cnf(c_0_136,negated_conjecture,
    ( a_select3(simplex7_init,pv1376,n0) != init
    | a_select3(simplex7_init,pv1376,n1) != init ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_55]),c_0_22]),c_0_72]),c_0_20])]),c_0_103])]),c_0_135]) ).

cnf(c_0_137,negated_conjecture,
    a_select3(simplex7_init,pv1376,n0) != init,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_55]),c_0_22]),c_0_111]),c_0_20]),c_0_113])]) ).

cnf(c_0_138,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_55]),c_0_22]),c_0_103]),c_0_20]),c_0_72])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWV032+1 : TPTP v9.2.1. Bugfixed v3.3.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.33  % Computer : n009.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit   : 300
% 0.14/0.33  % WCLimit    : 300
% 0.14/0.33  % DateTime   : Tue May  5 04:54:11 EDT 2026
% 0.14/0.33  % CPUTime    : 
% 0.14/0.34  % start to proof: theBenchmark
% 4.71/3.37  % Version  : CSE_E---1.7
% 4.71/3.37  % Problem  : theBenchmark.p
% 4.71/3.37  % SZS status Theorem for theBenchmark.p
% 4.71/3.37  % SZS output start CNFRefutation
% See solution above
% 4.71/3.38  % Total time : 2.370s
%------------------------------------------------------------------------------